Question
Train ‘A’ running with a speed of 108 km/hr can
cross a standing goods train of 4 times its length in 30 seconds. Find the time taken by 300 metres long train ‘B’ which is coming from opposite direction of train ‘A’, with a speed of 30 m/s, to cross train ‘A’.Solution
Let the length of train ‘A’ be ‘x’ metres Therefore, length of the goods train = ‘4x’ metres Speed of train ‘A’ = 108 × (5/18) = 30 m/s According to the question, 4x + x = 30 × 30 => 5x = 900 => x = 180 Therefore, time taken by train ‘B’ to cross train ‘A’ = {(180 + 300)/(30 + 30)} = 8 seconds
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